Hi I am confused on how to get the correct answer. The question states:
What is the surface area of the sphere if the radius is 16 cm?
Please show your work. Thank you!
Use this formula.
A=4πr^2
Thank you Mrs. Sue.
You're welcome, Tyler.
To find the surface area of a sphere, you can use the formula:
Surface Area = 4πr^2
In this formula, "π" represents the mathematical constant pi (approximately 3.14159), and "r" represents the radius of the sphere.
Given that the radius of the sphere is 16 cm, we can substitute this value into the formula:
Surface Area = 4π(16 cm)^2
To calculate this, first square the radius:
Surface Area = 4π(256 cm^2)
Next, multiply the squared radius by pi:
Surface Area = 4(3.14159)(256 cm^2)
Simplify this by multiplying 4 and pi:
Surface Area = 4 × 3.14159 × 256 cm^2
Calculate the product of 4 and pi:
Surface Area = 12.56636 × 256 cm^2
Now multiply this value by 256:
Surface Area = 3216.99136 cm^2
The surface area of the sphere is approximately 3217 square centimeters (cm^2).